曲边区域上非线性双曲积分微分方程的非协调有限元方法  

NONCONFORMING FINITE ELEMENT METHOD FOR THE NONLINEAR HYPERBOLIC INTEGRO-DIFFERENTIAL EQUATIONS IN DOMAIN WITH CURVED BOUNDARIES

作　　者：张步英[1] 陈绍春[2] 

机构地区：[1]河北科技师范学院欧美学院,秦皇岛066004 [2]郑州大学数学系,郑州450052

出　　处：《高等学校计算数学学报》2013年第3期222-232,共11页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金资助项目(11071226);河北省高等学校科学技术研究项目(Z2012170)

摘　　要：曲边区域上的各类问题研究由于其更加切合研究的实际情况，引起了各界学者的广泛讨论．本文考虑下列曲边区域上的非线性双曲积分微分方程：In this paper, we consider a nonconforming finite element method for nonlinear hyperbolic integro-differential equations in domains with curved bound- aries. The optimal error estimats of the approximate solution and real solution with norm are obtained in , by making use of the Ritz-Volterra projection of real solution, the special properties of the finite element and the particular technology in dealing with the curved boundaries.

关 键 词：数学 数学分析 粘弹性方程 二阶非协调 有限元 逼近分析 

分 类 号：O242.21[理学—计算数学]